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latraviacox12
27.11.2019 •
Mathematics
How would you find the diagonals for a rhombus given the side length of 7 yds and an angle measure of 60 degrees?
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Ответ:
Long diagonal: 12.12 yd
Short diagonal: 7 yd.
Step-by-step explanation:
As you can see, 4 righ triangles are formed.
The larger diagonal divides the angle ∠AFM=60° into two angles of 30° each.
Then, choose one the triangles that has the angles of 30°. The hypotenuse will be the side lenght of 7 yards, the long diagonal (D) will be twice the adjacent side and the short diagonal (d) will be twice the opposite side.
Then:
- Long diagonal:
- Short diagonal:
Ответ:
The length of diagonals are 7 yd and 12.12 yd
Step-by-step explanation:
Let the point of intersection called as 'D'
<AFD = <MFD =60/2 = 30°
Then < AFM = <AFD + <MFD
Consider the ΔAFD
The angles are 30°, 60° and 90 then sides are in the ratio
1 : √3 : 2
The two diagonals are MA and FR
MA = MD + AD = 7/2 + 7/2 = 7 yd
FR = FD + RD = 7√3/2 + 7√3/2 = 7√3 = 12.12 yd
Therefore the length of diagonals are 7 yd and 12.12 yd
Ответ:
2nd Option is correct.
Step-by-step explanation:
Given:
Renata has $20 in gift card.
She bought 16 songs.
After purchase Balance in gift card = $0
⇒ Cost of 16 songs = $20
⇒ Cost of 1 song = 20/16 = $ 1.25
let x represent number of songs purchased and y represent balance on her gift card.
So, Cost of x songs = 1.25 × x = 1.25x
And Balance = 20 - 1.25 x
Thus, Required equation representing relationship between balance on gift card and number of song purchased.
y = 20 - 1.25x
1.25x + y = 20
If we multiply both sides of equation with 4, we get
5x + 4y = 80
Therefore, 2nd Option is correct.